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Finding the Fourth Proportional to 39.53, 54.57 and 24.99

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Solution

The fourth proportional to 39.53, 54.57 and 24.99 is: 34.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.53 : 54.57 = 24.99 : x
  2. Step 2: Convert to fraction form
    39.53/54.57 = 24.99/x
  3. Step 3: Cross multiply
    39.53x = 54.57 × 24.99
  4. Step 4: Simplify right side
    39.53x = 1,363.70
  5. Step 5: Solve for x
    x = 1,363.70/39.53
  6. Step 6: Final answer
    x = 34.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.